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@article {AnSc,
    AUTHOR = {Andruskiewitsch, N. and Schneider, H.-J.},
     TITLE = {On the classification of finite dimensional pointed {H}opf
              algebras},
   JOURNAL = {Ann. of Math. (2)},
  FJOURNAL = {Annals of Mathematics. Second Series},
    VOLUME = {171},
      YEAR = {2010},
    NUMBER = {1},
     PAGES = {375--417},
   MRCLASS = {16T05},
  MRNUMBER = {2630042},
MRREVIEWER = {Stefaan Caenepeel},
       DOI = {10.4007/annals.2010.171.375}}

@article {BSS,
    AUTHOR = {Berg, C. and Saliola, F. and Serrano, L.},
     TITLE = {Pieri operators on the affine nil{C}oxeter algebra},
   JOURNAL = {Trans. Amer. Math. Soc.},
  FJOURNAL = {Transactions of the American Mathematical Society},
    VOLUME = {366},
      YEAR = {2014},
    NUMBER = {1},
     PAGES = {531--546},
   MRCLASS = {05E05 (14N15)},
  MRNUMBER = {3118405},
MRREVIEWER = {T. Kyle Petersen},
       DOI = {10.1090/S0002-9947-2013-05895-3}}

@article {BMR2,
    AUTHOR = {Brou\'e, M. and Malle, G. and Rouquier, R.},
     TITLE = {Complex reflection groups, braid groups, {H}ecke algebras},
   JOURNAL = {J. Reine Angew. Math.},
  FJOURNAL = {Journal f\"ur die Reine und Angewandte Mathematik. [Crelle's
              Journal]},
    VOLUME = {500},
      YEAR = {1998},
     PAGES = {127--190},
   MRCLASS = {20F55 (20C05 20F36)},
  MRNUMBER = {1637497},
MRREVIEWER = {Arjeh M. Cohen},
       DOI = {10.1515/crll.1998.064}}

@article {Cox,
    AUTHOR = {Coxeter, H.S.M.},
     TITLE = {Discrete groups generated by reflections},
   JOURNAL = {Ann. of Math. (2)},
  FJOURNAL = {Annals of Mathematics. Second Series},
    VOLUME = {35},
      YEAR = {1934},
    NUMBER = {3},
     PAGES = {588--621},
   MRCLASS = {DML},
  MRNUMBER = {1503182},
       DOI = {10.2307/1968753}}

@article {Cox2,
    AUTHOR = {Coxeter, H.S.M.},
     TITLE = {The complete enumeration of finite groups of the form 
              $R_i^2 = (R_i R_j)^{k_{ij}} = 1$},
   JOURNAL = {J. London Math. Soc.},
    VOLUME = {s1-10},
      YEAR = {1935},
    NUMBER = {1},
     PAGES = {21--25},
   MRCLASS = {DML}}

@inproceedings{Co,
	Author = {Coxeter, H.S.M.},
	Booktitle = {Proc. 4th Canadian Math. Congress (Banff, 1957)},
	Pages = {95--122},
	Publisher = {University of Toronto Press},
	Title = {Factor groups of the braid group},
	Year = {1959}}

@article {Et,
    AUTHOR = {Etingof, P.},
     TITLE = {Proof of the {B}rou\'e-{M}alle-{R}ouquier conjecture in
              characteristic zero (after {I}. {L}osev and {I}.
              {M}arin--{G}. {P}feiffer)},
   JOURNAL = {Arnold Math. J.},
  FJOURNAL = {Arnold Mathematical Journal},
    VOLUME = {3},
      YEAR = {2017},
    NUMBER = {3},
     PAGES = {445--449},
   MRCLASS = {20C15},
  MRNUMBER = {3692497},
       DOI = {10.1007/s40598-017-0069-7}}

@article {FS,
    AUTHOR = {Fomin, S. and Stanley, R.P.},
     TITLE = {Schubert polynomials and the nil-{C}oxeter algebra},
   JOURNAL = {Adv. Math.},
  FJOURNAL = {Advances in Mathematics},
    VOLUME = {103},
      YEAR = {1994},
    NUMBER = {2},
     PAGES = {196--207},
   MRCLASS = {05E05 (14M15 20F55)},
  MRNUMBER = {1265793},
MRREVIEWER = {Axel Kohnert},
       DOI = {10.1006/aima.1994.1009}}

@article {HV2,
    AUTHOR = {Heckenberger, I. and Vendramin, L.},
     TITLE = {The classification of {N}ichols algebras over groups with
              finite root system of rank two},
   JOURNAL = {J. Eur. Math. Soc. (JEMS)},
  FJOURNAL = {Journal of the European Mathematical Society (JEMS)},
    VOLUME = {19},
      YEAR = {2017},
    NUMBER = {7},
     PAGES = {1977--2017},
   MRCLASS = {16T05 (17B22 20F55)},
  MRNUMBER = {3656477},
MRREVIEWER = {Cristian Vay},
       DOI = {10.4171/JEMS/711}}

@book {Hum,
    AUTHOR = {Humphreys, J.E.},
     TITLE = {Reflection groups and {C}oxeter groups},
    SERIES = {Cambridge Studies in Advanced Mathematics},
    VOLUME = {29},
 PUBLISHER = {Cambridge University Press, Cambridge},
      YEAR = {1990},
     PAGES = {204},
   MRCLASS = {20-02 (20F32 20F55 20G15 20H15)},
  MRNUMBER = {1066460},
MRREVIEWER = {Louis Solomon}}

@article {Kh,
    AUTHOR = {Khare, A.},
     TITLE = {Generalized nil-{C}oxeter algebras over discrete complex
              reflection groups},
   JOURNAL = {Trans. Amer. Math. Soc.},
  FJOURNAL = {Transactions of the American Mathematical Society},
    VOLUME = {370},
      YEAR = {2018},
    NUMBER = {4},
     PAGES = {2971--2999},
   MRCLASS = {20F55 (20C08 20F05)},
  MRNUMBER = {3748591},
       DOI = {10.1090/tran/7304}}

@article {Kho,
    AUTHOR = {Khovanov, M.},
     TITLE = {Nilcoxeter algebras categorify the {W}eyl algebra},
   JOURNAL = {Comm. Algebra},
  FJOURNAL = {Communications in Algebra},
    VOLUME = {29},
      YEAR = {2001},
    NUMBER = {11},
     PAGES = {5033--5052},
   MRCLASS = {16S32 (16W30 18D99 20C05)},
  MRNUMBER = {1856929},
MRREVIEWER = {K. R. Goodearl},
       DOI = {10.1081/AGB-100106800}}

@article {KK,
    AUTHOR = {Kostant, B. and Kumar, S.},
     TITLE = {The nil {H}ecke ring and cohomology of {$G/P$} for a
              {K}ac-{M}oody group {$G$}},
   JOURNAL = {Adv. Math.},
  FJOURNAL = {Advances in Mathematics},
    VOLUME = {62},
      YEAR = {1986},
    NUMBER = {3},
     PAGES = {187--237},
   MRCLASS = {17B55 (22E65)},
  MRNUMBER = {866159},
MRREVIEWER = {H. H. Andersen},
       DOI = {10.1016/0001-8708(86)90101-5}}

@phdthesis {Ko,
    AUTHOR = {Koster, D.W.},
     TITLE = {Complex reflection groups},
    SCHOOL = {The University of Wisconsin - Madison},
 PUBLISHER = {ProQuest LLC, Ann Arbor, MI},
      YEAR = {1975},
     PAGES = {71 pp.},
   MRCLASS = {Thesis},
  MRNUMBER = {2625485}}

@article {Ma,
    AUTHOR = {Marin, I.},
     TITLE = {The freeness conjecture for {H}ecke algebras of complex
              reflection groups, and the case of the {H}essian group
              {$G_{26}$}},
   JOURNAL = {J. Pure Appl. Algebra},
  FJOURNAL = {Journal of Pure and Applied Algebra},
    VOLUME = {218},
      YEAR = {2014},
    NUMBER = {4},
     PAGES = {704--720},
   MRCLASS = {20C08 (20F55)},
  MRNUMBER = {3133700},
MRREVIEWER = {John C. Murray},
       DOI = {10.1016/j.jpaa.2013.08.009}}

@book {Po1,
    AUTHOR = {Popov, V.L.},
     TITLE = {Discrete complex reflection groups},
    SERIES = {Communications of the Mathematical Institute,
              Rijksuniversiteit Utrecht},
    VOLUME = {15},
 PUBLISHER = {Rijksuniversiteit Utrecht, Mathematical Institute, Utrecht},
      YEAR = {1982},
     PAGES = {89},
       DOI = {10.13140/2.1.4050.2088},
   MRCLASS = {20H15 (14D25 20F38 22E40)},
  MRNUMBER = {645542},
MRREVIEWER = {Klaus Pommerening}}

@article {ST,
    AUTHOR = {Shephard, G.C. and Todd, J.A.},
     TITLE = {Finite unitary reflection groups},
   JOURNAL = {Canad. J. Math.},
  FJOURNAL = {Canadian Journal of Mathematics. Journal Canadien de
              Math\'ematiques},
    VOLUME = {6},
      YEAR = {1954},
     PAGES = {274--304},
       DOI = {10.4153/CJM-1954-028-3},
   MRCLASS = {20.0X},
  MRNUMBER = {0059914},
MRREVIEWER = {H. S. M. Coxeter}}

@article {SW2,
    AUTHOR = {Shepler, A.V. and Witherspoon, S.},
     TITLE = {A {P}oincar\'e-{B}irkhoff-{W}itt theorem for quadratic algebras
              with group actions},
   JOURNAL = {Trans. Amer. Math. Soc.},
  FJOURNAL = {Transactions of the American Mathematical Society},
    VOLUME = {366},
      YEAR = {2014},
    NUMBER = {12},
     PAGES = {6483--6506},
   MRCLASS = {16S37 (16E40)},
  MRNUMBER = {3267016},
MRREVIEWER = {Thomas Cassidy},
       DOI = {10.1090/S0002-9947-2014-06118-7}}